Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm.

Solution:

Given the sides of a right angled triangle 9cm and 12cm

We know that the pythagoras theorem states that in a right angle triangle,the square of the hypotenuse is the sum of the squares of the sides.

If ABC is a right angled triangle with B = 90°

AC² = AB² + BC²

According to the given data, AB = 9 cm and BC = 12cm

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

AC = √225 = 15

AC = 15cm

The length of hypotenuse is 15cm

Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm.

Summary:

The length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm is 15cm.